What exactly is the difference between them? If I were to draw a Venn diagram, I could probably think of some contrasts. I don’t know if most conservatives really care about segregation at this point. I don’t know if conservatives are down for a genocide (though I have my suspicions). The main thing that they have in common is anything BLM or black crime related. Talk to any regular conservative about those things and they’ll turn into Derek from American History X. This is because at their core, they think the law should apply to everyone but them. They don’t care if White people get away with crimes against POC, but think POC should be executed for shoplifting.
No, but it's definitely a pipeline. I think most "conservatives" really only have one or two issues that they care about, but they get inducted into that side of the culture war and all of the other conservative bugbears get grafted onto them. So they either take those thoughts to their logical conclusion and become fascists or they become the type who has big contradictions in their beliefs (ie believing in treating people equally while supporting literally every single policy that discriminates based on race). Most Americans (lib and conservative both) are in the second group, it's only weirdos like us who actually think through the contradictions in our politics.